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    Permutation Vs Combination - Practice Questions & MCQ

    Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

    Quick Facts

    • 12 Questions around this concept.

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    QuestionMEDIUM

    All the five-digit numbers N=a b c d e having property a<b<c<d<e  are arranged in the increasing order of their magnitude. The 97^{\text {th }} number in the list does not contain the digit:

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    A seven-digit number is in the form of abcdefg (g, f, e,..... etc. are digits at units, tens, hundred places....etc), where a<b<c<d>e>f>g a, b, c, e, f, g are different digits. The number of such numbers is:

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    \sum_{\mathrm{k}=0}^6{ }^{51} \mathrm{C}_3 is equal to

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    If { }^{2 n} C_{3}:{ }^{n} C_{3}: 10: 1,then the ratio \left(n^{2}+3 n\right):\left(n^{2}-3 n+4\right) is :

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    A 5-digit number is to be formed using the digits 0-9, where repetition is allowed. How many different numbers can be formed if the number must be divisible by 3 and have exactly 2 odd digits?

     

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    The product of first \mathrm{n} odd natural numbers equals

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    The product of \mathrm{n} consecutive natural number is always divisible by

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    The number of five digit numbers that contain 7 exactly once is

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    Concepts Covered - 1

    PERMUTATION Vs COMBINATION

    Permutations Vs Combinations

    Always remember, in an arrangement, the order is always important. Whereas, in Combination, the order is not important.

    Consider the following examples-
    1. Selecting a team of 11 from 16 players - Selection

    Drawing a batting line-up of 11 from 16 players - Arrangement
    2. Selecting 3 students out of 10 students who will receive scholarships of the same value Selection

    Selecting 3 students out of 10 students who will receive scholarships of Rs. 500 , Rs. 1000 and Rs. 2000 - Arrangement.

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    PERMUTATION Vs COMBINATION

    Study other Related Concepts

    Permutation Vs Combination Current Topic

    Introduction Permutation and Combination
    Fundamental Principle Of Counting
    Permutation
    Permutation Of Objects When Few Are Identical
    Applications Of Permutation
    Geometrical Permutations
    Rank Of A Word In A Dictionary
    Introduction Of Combinations
    Applications Of Selections
    Selection Of Any Number Of Objects

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